LEADER 03830nam 22007335 450 001 9910299732203321 005 20251116211500.0 010 $a3-7091-1785-2 024 7 $a10.1007/978-3-7091-1785-9 035 $a(CKB)2670000000548011 035 $a(EBL)1698011 035 $a(OCoLC)881165994 035 $a(SSID)ssj0001186850 035 $a(PQKBManifestationID)11700642 035 $a(PQKBTitleCode)TC0001186850 035 $a(PQKBWorkID)11241645 035 $a(PQKB)11537170 035 $a(MiAaPQ)EBC1698011 035 $a(DE-He213)978-3-7091-1785-9 035 $a(PPN)177825510 035 $a(EXLCZ)992670000000548011 100 $a20140318d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aCollective dynamics from bacteria to crowds $ean excursion through modeling, analysis and simulation /$fedited by Adrian Muntean, Federico Toschi 205 $a1st ed. 2014. 210 1$aVienna :$cSpringer Vienna :$cImprint: Springer,$d2014. 215 $a1 online resource (182 p.) 225 1 $aCISM International Centre for Mechanical Sciences, Courses and Lectures,$x0254-1971 ;$v553 300 $aDescription based upon print version of record. 311 08$a3-7091-1784-4 320 $aIncludes bibliographical references at the end of each chapters. 327 $aThe derivation of swarming models: mean-field limit and Wasserstein distances -- Non-smooth evolution models in crowd dynamics: mathematical and numerical issues -- Pedestrians moving in the dark: balancing measures and playing games on lattices -- Stochastic competition between two populations in space -- Discrete and continuum dynamics of reacting and interacting individuals -- Multiscale crowd dynamics: modeling and theory. 330 $aMultiscale models in social applications combine mean-field and kinetic equations with either microscopic or macroscopic level descriptions. In this book the reader will find not only a wide spectrum of multiscale analysis results (like convergence proofs), but also practically important information such as derivations of mean-field equations, methods to handle hard contacts numerically, to model group behavior, to quantitative estimate microscopic/macroscopic segregation of competing species, to quantitative understand the limits of validity of mass-action kinetics for simple reactions. 410 0$aCISM International Centre for Mechanical Sciences, Courses and Lectures,$x0254-1971 ;$v553 606 $aStatistical physics 606 $aDynamics 606 $aComputational complexity 606 $aBiomathematics 606 $aComplex Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P33000 606 $aComplexity$3https://scigraph.springernature.com/ontologies/product-market-codes/T11022 606 $aMathematical and Computational Biology$3https://scigraph.springernature.com/ontologies/product-market-codes/M31000 606 $aStatistical Physics and Dynamical Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P19090 615 0$aStatistical physics. 615 0$aDynamics. 615 0$aComputational complexity. 615 0$aBiomathematics. 615 14$aComplex Systems. 615 24$aComplexity. 615 24$aMathematical and Computational Biology. 615 24$aStatistical Physics and Dynamical Systems. 676 $a531 702 $aMuntean$b Adrian$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aToschi$b Federico$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299732203321 996 $aCollective Dynamics from Bacteria to Crowds$92199693 997 $aUNINA